Question

5.3 cm 6.6 cm Find the length of the Unknown leg of the right triangle

Answer 1

Answer:

3.93 cm

Step-by-step explanation:

Use the Pythagorean Theorem to solve

$a^{2} + b^{2} = c^{2}$

It is known that the missing value is the leg

Substitute in 5.3 for leg 1 and 6.6 for the hypotenuse

$5.3^{2} + b^{2} = 6.6^{2}$

Solve exponents

$28.09 + b^{2} = 43.56$

Subtract 28.09 from both sides of the equation

$b^{2} = 15.47$

Simplify

b = 3.93 cm

3.93 cm

Hope this helps :)

Answer 2

We are trying to find the unknown leg of the triangle and we can use the formula a^2 + b^2 = c^2.

5.3^2 + b^2 = 6.6^2

28.09 + b^2 = 43.56

28.09 - 28.09 + b^2 = 43.56 - 28.09

b^2 = 15.47

√b^2 = √15.47

b = 3,9331...

Lets round to the bearest hundreth.

3.9331... ≈ 3.93

Therefore, the length of the unknown leg is approximately 3.93cm.

Best of Luck!